The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  3  1  1
 0  3 24  0 21 24  6  9 21 21  0 24 21  0 24  6 18 12 21  0  9 12  0 21 24  6  6  9 12  6  9  3  9 15 12 24 15  0 21  9 24 15 12 24  6  9 18 12  0  9 12 21  0 24 15 18  0 12 12
 0  0  9  0  0  0 18  0 18  9  0  9  9  9  0  9  9  0 18 18  9  0 18  9  9  0 18  0 18 18 18  9  9 18  9  9 18  9 18  0  0  0  9  0  9  0 18 18  0 18  0  9 18  9 18  9  0  0  0
 0  0  0  9  0  9 18 18 18  9  0 18  0 18 18 18  0 18  0  0 18  9 18  0  9  0  0 18  9 18  9 18  9  9 18  9  9  9 18  0  9  9 18 18 18  9  9 18  9  9  9  9 18  0  9  9  9 18  0
 0  0  0  0 18 18  9  0 18  9 18 18  0  0 18  0  9  0 18 18  9  0 18  9  0 18  9 18 18  0 18  0  9  0  9 18  9  0  9  9  0  9 18  9  9  9  9  0 18  0 18 18  9  9 18  0 18 18  9

generates a code of length 59 over Z27 who´s minimum homogenous weight is 109.

Homogenous weight enumerator: w(x)=1x^0+132x^109+44x^111+306x^112+112x^114+264x^115+260x^117+4620x^118+252x^120+150x^121+22x^123+156x^124+16x^126+60x^127+6x^129+102x^130+10x^132+30x^133+12x^136+4x^138+2x^171

The gray image is a code over GF(3) with n=531, k=8 and d=327.
This code was found by Heurico 1.16 in 0.693 seconds.